Answer :

Answer: The volume for this gas is 0.732 L.

Explanation:

Given : No. of moles = 0.582 mol

Temperature = [tex]15^{o}C = (15 + 273) K = 288 K[/tex]

Pressure = 18.8 atm

Using the ideal gas equation, volume for the given gas is calculated as follows.

PV = nRT

where,

P = pressure

V = volume

n = number of moles

R = gas constant = 0.0821 L atm/mol K

T = temperature

Substitute the values into above formula.

[tex]PV = nRT\\18.8 atm \times V = 0.582 mol \times 0.0821 L atm/mol K \times 288 K\\V = \frac{0.582 mol \times 0.0821 L atm/mol K \times 288 K}{18.8}\\= \frac{13.761}{18.8}\\= 0.732 L[/tex]

Therefore, it can be concluded that the volume for this gas is 0.732 L.

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